SOLUTION: Determine whether or not the equation represents y as a function of x. Please show work. (x^3)y=-4

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Question 1014441: Determine whether or not the equation represents y as a function of x. Please show work.
(x^3)y=-4
Answer by ikleyn(52794) About Me  (Show Source):
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Determine whether or not the equation represents y as a function of x. Please show work.
(x^3)y=-4
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x%5E3%2Ay = -4.

Yes, this relation determines y as a function of x: y = -4%2Fx%5E3.

This function is defined for all positive x: x > 0.

For each value of x, it determines one value of y (unique value of y.

For example, 

y(1)   = -4%2F1%5E3 = -4%2F1 = -4;

y(1/2) = -4%2F%281%2F2%29%5E3 = -4%2F%28%281%2F8%29%29 = -32;

y(2)   = -4%2F2%5E3 = -4%2F8 = -1%2F2.